{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Smoothing data\n",
    "\n",
    "This notebook highlights how signals can be smoothed with the smooth function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "using PyPlot\n",
    "using Spectra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Signal generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x325b4ba10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x325ecdbd0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# the x axis\n",
    "x = collect(0:0.1:100)\n",
    "\n",
    "# a scale factor that you can change\n",
    "scale = 0.01\n",
    "\n",
    "# a fake signal: perfect y\n",
    "y_tot, y_peaks = gaussiennes([10;20.],[40.;60],[5.;15],x)\n",
    "y_perfect = scale.*y_tot\n",
    "\n",
    "# we add noise: observed y\n",
    "y = scale.*(y_tot + randn(size(y_tot,1)))\n",
    "\n",
    "figure()\n",
    "plot(x,y,\"k-\",label=\"Noisy observed signal\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smoothing with Savitsky-Golay and GCVspline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x3260309d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x3263a9ad0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_sv = smooth(x,y,filter=:SavitzkyGolay,M=15,N=2)\n",
    "y_gcv = smooth(x,y,filter=:GCVSmoothedNSpline,ese_y = std(y[0 .< x .< 20]))\n",
    "y_whit = smooth(x,y,filter=:Whittaker,lambda=10.0^1)\n",
    "\n",
    "figure()\n",
    "plot(x,y,\"k-\",label=\"Noisy signal\")\n",
    "plot(x,y_sv,\"b-\",label=\"Savitsky-Golay filter\")\n",
    "plot(x,y_gcv,\"g-\",label=\"GCVSmoothedNSpline filter\")\n",
    "plot(x,y_whit,linestyle=\"-.\",color=\"purple\",label=\"Whittaker filter\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "\n",
    "xlim(minimum(x),maximum(x))\n",
    "ylim(minimum(y),maximum(y)+0.1.*maximum(y))\n",
    "legend(loc=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x326030050>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x3265e3bd0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure()\n",
    "plot(x,y_perfect,\"r-\",label=\"True signal\")\n",
    "plot(x,y_sv,\"b-\",label=\"Savitsky-Golay filter\")\n",
    "plot(x,y_gcv,\"g-\",label=\"GCVSmoothedNSpline filter\")\n",
    "plot(x,y_whit,\"-.\",color=\"purple\",label=\"Whittaker filter\")\n",
    "xlabel(\"Position, a. u.\",fontname=\"Sans\",fontsize = 18)\n",
    "ylabel(\"Amplitude, a. u.\", fontname = \"Sans\", fontsize = 18)\n",
    "\n",
    "xlim(minimum(x),maximum(x))\n",
    "ylim(minimum(y),maximum(y)+0.1.*maximum(y))\n",
    "legend(loc=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Summed errors between the noisy, Savitzky-Golay, GCVspline, Whittaker smoothed y values and the perfect signals are, respectively, of:\n",
      "[0.103505 0.00673404 0.00258319 0.00256329]\n"
     ]
    }
   ],
   "source": [
    "ese_noise = sum((y - y_perfect).^2)\n",
    "ese_sg = sum((y_sv-y_perfect).^2)\n",
    "ese_gcv = sum((y_gcv-y_perfect).^2)\n",
    "ese_whit = sum((y_whit-y_perfect).^2)\n",
    "\n",
    "println(\"Summed errors between the noisy, Savitzky-Golay, GCVspline, Whittaker smoothed y values and the perfect signals are, respectively, of:\")\n",
    "println([ese_noise ese_sg ese_gcv ese_whit])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.5.2",
   "language": "julia",
   "name": "julia-0.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
